Exploding ball

A ball, initially at rest at the coordinate origin, explodes into three equal pieces. After explosion, one piece moves along x-axis with velocity VX1 = 4.00 m/s and another piece move with velocity: VX2 = 3.83 m/s and VY2 = 9.07 m/s. What are the velocity components for the third piece?

This confuses me because I am unsure of what direction the third piece would travel after the explosion. It could go into second quadrant and have an negative x component; it could go into the third quadrant and have both negative x and y components.